Details

analyze384.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
8.3%	7.8%	85.8%	0.1%	0%	6.2%	0%	7
10.8%	10.1%	83.5%	0.1%	0%	6.2%	0%	8
18.4%	16.8%	74.5%	0.1%	0%	8.6%	0%	9
33.6%	29.1%	57.5%	0.1%	0%	13.3%	0%	10
39.6%	33.6%	51.4%	0.1%	0.8%	14%	0%	11
47.9%	39.2%	42.7%	0.1%	1.6%	16.4%	0%	12

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample3.2s (13.6%)

Results

2.7s	8256×	body	256	valid
252.0ms	967×	body	256	invalid
146.0ms	532×	body	256	infinite

Bogosity

preprocess102.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

676×	`fma-def_binary64`
501×	`associate-/l*_binary64`
481×	`div-sub_binary64`
461×	`associate-/r*_binary64`
383×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	131	208
2	321	208
3	699	200
4	1305	200
5	2422	200
6	6277	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)))
(if (>=.f64 c 0) (/.f64 (.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 c (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) 2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) 2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 c (.f64 -1/2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) a)))
(if (>=.f64 b 0) (/.f64 c (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) -1/2)) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) a) -1/2))
(if (>=.f64 b 0) (.f64 -2 (/.f64 c (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) a) -1/2))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 c (.f64 b 4)))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 c (.f64 b 4))))) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 (/.f64 2 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))))) c) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 (/.f64 c (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c (.f64 b -4) (.f64 a a))))) 2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 b -4) (.f64 a a))) a) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))) a) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b)))
(if (>=.f64 a 0) (.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b) -1/2))
(if (>=.f64 a 0) (/.f64 (.f64 c -2) (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))))) (.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b) -1/2))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 (/.f64 2 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 c)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) c)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) c) -1/2))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) c) -1/2))
(if (>=.f64 c 0) (/.f64 (.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)))
(if (>=.f64 c 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) b)) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) (*.f64 2 a)))
(if (>=.f64 c 0) (.f64 (/.f64 2 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))))) b) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) c) (.f64 2 a)))
(if (>=.f64 c 0) (.f64 b (/.f64 2 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (.f64 2 a)))
(if (>=.f64 c 0) (.f64 b (/.f64 -2 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (.f64 2 a)))

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify152.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1002×	`fma-def_binary64`
782×	`fma-neg_binary64`
560×	`div-sub_binary64`
464×	`times-frac_binary64`
401×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	44	52
2	99	52
3	240	50
4	435	50
5	775	50
6	1488	50
7	2868	50
8	4319	50
9	5600	50
10	6531	50
11	6959	50
12	7072	50
13	7869	50
14	7925	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (/.f64 c -1/2) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))

eval1.0ms (0%)

Compiler: Compiled 75 to 47 computations (37.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

23.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	23.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))

Status

Error

Program

▶

23.1b

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))

▶

23.3b

(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))

Compiler

Compiled 78 to 50 computations (35.9% saved)

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
✓	1.7b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	1.9b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	25.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 140 to 84 computations (40% saved)

series28.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
1.0ms	b	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
476×	`fma-def_binary64`
410×	`pow-prod-down_binary64`
315×	`pow2_binary64`
274×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	240	53
2	3276	53

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
(fma.f64 b b (.f64 c (.f64 a -4)))
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)

Outputs
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b (sqrt.f64 (.f64 c (.f64 a -4)))) b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c (.f64 a -4) (.f64 b b)))) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c 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egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 b)) 2) (cbrt.f64 (neg.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) (pow.f64 b 3))) (-.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (.f64 b b))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) (pow.f64 b 3))) (-.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (.f64 b b))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) (pow.f64 b 3))) (-.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (.f64 b b))) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (+.f64 (neg.f64 b) b))))))

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary64`
716×	`times-frac_binary64`
679×	`associate-r_binary64`
643×	`associate-l_binary64`
441×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	2375
1	441	2283
2	1497	2143

Stop Event

1×	node limit

Counts

313 → 292

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (*.f64 c a) -2) b))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (.f64 (.f64 c a) 2) b) b)
(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b)))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) b))
(-.f64 (fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) b)
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (*.f64 c a) -2) b))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (*.f64 c a) -2) b))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 b (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) b)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))
(fma.f64 b 2 (.f64 -2 (.f64 a (/.f64 c b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))) (*.f64 b 2))
(fma.f64 b 2 (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
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(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) -1/2 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c a) -2) b))))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) -1/2 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 c a) 2) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (/.f64 (.f64 2 (.f64 (.f64 c c) (.f64 a a))) (pow.f64 b 3))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 b -2)))
(fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b -2))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 b -2 (fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 c a) -2) b)
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (*.f64 c a) -2) b)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2))) b) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (*.f64 c a) -2) b))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 c a) -2) b)
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (*.f64 c a) -2) b)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2))) b) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (*.f64 c a) -2) b))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.9b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	25.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	c	@	0	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	a	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	a	@	-inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

rewrite178.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`fma-def_binary64`
690×	`log-prod_binary64`
416×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4360	53

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 4 c)) 2))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 64 (pow.f64 (.f64 a c) 3)))) (sqrt.f64 (fma.f64 (.f64 a (.f64 4 c)) (fma.f64 a (.f64 4 c) (.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) 1) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 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b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))

simplify139.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
708×	`fma-def_binary64`
688×	`associate-r_binary64`
650×	`associate-l_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1483	2157

Stop Event

1×	node limit

Counts

512 → 476

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(-.f64 (/.f64 (.f64 (.f64 2 a) c) b) b)
(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b)))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (neg.f64 b))))
(fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (.f64 2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b)))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
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(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (neg.f64 b)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (neg.f64 b))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b)
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 (.f64 c a) b) (.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 2 a) c) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 -2 b (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))))
(fma.f64 b -2 (.f64 2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))))
(+.f64 (.f64 2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b)))) (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) 4))))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 c c) (pow.f64 b 3))) 2))) b) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 c c) (pow.f64 b 3))) 2))) b) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 4) b)) (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))

eval1.3s (5.4%)

Compiler: Compiled 54426 to 33110 computations (39.2% saved)

prune418.0ms (1.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1097	17	1114
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	1099	17	1116

Error

7.1b

Counts

1116 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	23.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
	23.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	24.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) b) (/.f64 1/2 a)))
	21.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (/.f64 1/2 a)))
	23.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (*.f64 2 a)))
▶	31.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) (/.f64 1/2 a)))
▶	23.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	19.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	24.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b) (/.f64 1/2 a)))
	22.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b))) (/.f64 1/2 a)))
	23.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	24.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
▶	29.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
	28.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))
	42.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	42.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))

Compiler

Compiled 1374 to 906 computations (34.1% saved)

localize123.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	1.9b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	25.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 131 to 73 computations (44.3% saved)

series28.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	c	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
4.0ms	b	@	0	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
4.0ms	c	@	-inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
4.0ms	a	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	b	@	-inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log-prod_binary64`
728×	`fma-def_binary64`
358×	`fma-neg_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	343	22
2	4951	21

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) 2) (cbrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (*.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (sqrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c c)) (*.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -2) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))) (/.f64 c (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))) (/.f64 2 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))) (/.f64 (+.f64 c c) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))) (cbrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (/.f64 c (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (/.f64 2 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (/.f64 (+.f64 c c) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) 3/2))) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (fma.f64 -4 (*.f64 c a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 c (*.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) 1))))))

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

737×	`fma-neg_binary64`
588×	`fma-def_binary64`
439×	`times-frac_binary64`
335×	`associate-/l*_binary64`
328×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	821
1	419	740
2	1671	675
3	6389	674

Stop Event

1×	node limit

Counts

68 → 74

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 7))) (.f64 -2 (/.f64 (pow.f64 a 3) (pow.f64 b 7)))))) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 -2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (pow.f64 a 3))) (.f64 -2 (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) a)) (.f64 (pow.f64 c 2) a)) (pow.f64 b 3))) (*.f64 -1 (/.f64 b a))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (pow.f64 a 2)))) (.f64 -1 (.f64 c (.f64 a (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) a)) (.f64 (pow.f64 c 2) a))))))) (pow.f64 b 5))) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) a)) (.f64 (pow.f64 c 2) a)) (pow.f64 b 3))) (.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 4) (pow.f64 b 7))) (.f64 -1/2 (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))

Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (.f64 -2 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 7))) (.f64 -2 (/.f64 (pow.f64 a 3) (pow.f64 b 7)))))) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 2 (.f64 (pow.f64 c 4) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) -5/2)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (fma.f64 2 (.f64 (pow.f64 c 4) (/.f64 (.f64 (pow.f64 a 3) -5/2) (pow.f64 b 7))) (/.f64 (.f64 -2 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 2 (.f64 (pow.f64 c 4) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) -5/2))) (.f64 -2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (.f64 b b)) (fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -1/4 (sqrt.f64 -4))) (.f64 -1/2 (.f64 b b))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1/8 (sqrt.f64 -4))) (.f64 b b)) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 -2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)))))) (fma.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (.f64 b b)) (fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 c (.f64 (.f64 16 a) a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2))))) (fma.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -1/4 (sqrt.f64 -4))) (.f64 -1/2 (.f64 b b))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))))
(fma.f64 2 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1/8 (sqrt.f64 -4))) (.f64 b b) (/.f64 b (.f64 a -4))) (.f64 -2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) 16) (/.f64 1/32 (.f64 a (*.f64 c a))))))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (.f64 -2 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (pow.f64 a 3))) (.f64 -2 (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 2 (.f64 (pow.f64 c 4) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) -5/2)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (fma.f64 2 (.f64 (pow.f64 c 4) (/.f64 (.f64 (pow.f64 a 3) -5/2) (pow.f64 b 7))) (/.f64 (.f64 -2 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 2 (.f64 (pow.f64 c 4) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) -5/2))) (.f64 -2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) a)) (.f64 (pow.f64 c 2) a)) (pow.f64 b 3))) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 1/2 (.f64 (*.f64 c c) a)) (pow.f64 b 3)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (/.f64 (.f64 1 (.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 b a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a))
(fma.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c)) (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (pow.f64 a 2)))) (.f64 -1 (.f64 c (.f64 a (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) a)) (.f64 (pow.f64 c 2) a))))))) (pow.f64 b 5))) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) a)) (.f64 (pow.f64 c 2) a)) (pow.f64 b 3))) (.f64 -1 (/.f64 b a)))))
(fma.f64 2 (/.f64 (fma.f64 -1 (.f64 (pow.f64 c 3) (.f64 a a)) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (.f64 a a))) (neg.f64 (.f64 (.f64 c a) (.f64 1/2 (.f64 (.f64 c c) a)))))) (pow.f64 b 5)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 1/2 (.f64 (.f64 c c) a)) (pow.f64 b 3)) (neg.f64 (/.f64 b a)))))
(+.f64 (-.f64 (/.f64 (.f64 1 (.f64 c (.f64 c a))) (pow.f64 b 3)) (/.f64 b a)) (fma.f64 2 (/.f64 (-.f64 (-.f64 (.f64 1/8 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (.f64 a a)))) (.f64 a (.f64 c (.f64 (.f64 c (.f64 c a)) 1/2)))) (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 c b)))
(fma.f64 2 (/.f64 (-.f64 (fma.f64 1/8 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (.f64 c a))) (.f64 c (.f64 -1/2 (.f64 c (.f64 a (.f64 c a)))))) (.f64 a (*.f64 a (pow.f64 c 3)))) (pow.f64 b 5)) (-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a)))
(fma.f64 2 (/.f64 (fma.f64 1/8 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (.f64 c a))) (.f64 a (-.f64 (.f64 (.f64 a (.f64 (.f64 c c) 1/2)) (neg.f64 c)) (.f64 a (pow.f64 c 3))))) (pow.f64 b 5)) (fma.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c)) (-.f64 (/.f64 c b) (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (.f64 -2 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 4) (pow.f64 b 7))) (.f64 -1/2 (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 2 (.f64 (pow.f64 c 4) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) -5/2)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (fma.f64 2 (.f64 (pow.f64 c 4) (/.f64 (.f64 (pow.f64 a 3) -5/2) (pow.f64 b 7))) (/.f64 (.f64 -2 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 2 (.f64 (pow.f64 c 4) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) -5/2))) (.f64 -2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))

localize75.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	25.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series16.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
2.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
2.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
2.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log-prod_binary64`
734×	`fma-def_binary64`
373×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	342	22
2	4923	21

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (*.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) 2) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 1))))))

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-neg_binary64`
658×	`associate-l_binary64`
656×	`associate-r_binary64`
613×	`times-frac_binary64`
413×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	716
1	336	686
2	1221	620
3	7428	620

Stop Event

1×	node limit

Counts

63 → 71

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))

Outputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 (.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 (/.f64 -1/2 a) b))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 1/4 (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (/.f64 -1/2 (/.f64 a b)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/64))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (.f64 c c)) (.f64 a a)) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b))) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (/.f64 c b)) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (pow.f64 c 3) 2) (/.f64 (pow.f64 b 5) (.f64 a a)))))
(-.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20))) (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a)))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b))) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 b (pow.f64 c 4))) (-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))

localize152.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	1.9b	(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)))
	25.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	38.2b	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))

Compiler

Compiled 181 to 104 computations (42.5% saved)

series14.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)))
1.0ms	c	@	0	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))
1.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))
1.0ms	a	@	inf	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))
1.0ms	c	@	inf	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))

rewrite125.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`prod-diff_binary64`
515×	`log-prod_binary64`
306×	`pow2_binary64`
277×	`fma-def_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	254	29
2	3147	27

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))
(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 3/2) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 3/2) (pow.f64 b 3)) (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 3/2) (pow.f64 b 3)) (+.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 3/2) (pow.f64 b 3))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) (*.f64 b b)) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 b b (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 3/2) (pow.f64 b 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))))

simplify158.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
440×	`fma-def_binary64`
402×	`associate-r_binary64`
401×	`times-frac_binary64`
367×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	1213
1	297	1191
2	968	1120
3	4858	1100
4	6705	1064

Stop Event

1×	node limit

Counts

120 → 125

Calls

Call 1

Inputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))

Outputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b)
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b) (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b)))))
(+.f64 (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b)
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b) (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b)))))
(+.f64 (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b))))
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(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))) (/.f64 (.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (.f64 (/.f64 1/2 (pow.f64 b 7)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20))))
(fma.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(fma.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 4 (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 c (/.f64 (/.f64 b a) -2)))
(fma.f64 b 2 (.f64 (/.f64 -2 b) (.f64 c a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2)))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 c (/.f64 (/.f64 b a) -2)))
(fma.f64 b 2 (.f64 (/.f64 -2 b) (.f64 c a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2)))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))

localize244.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	24.7b	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) b)
	25.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	28.6b	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6)

Compiler

Compiled 184 to 108 computations (41.3% saved)

series122.0ms (0.5%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
47.0ms	a	@	inf	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6)
13.0ms	c	@	0	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) b)
10.0ms	c	@	-inf	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) b)
8.0ms	a	@	0	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) b)
7.0ms	c	@	inf	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) b)

rewrite125.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`prod-diff_binary64`
564×	`log-prod_binary64`
361×	`fma-def_binary64`
335×	`pow2_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	287	30
2	3430	29

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6)
(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) b)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)))) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/12) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) 2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) 1/6) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) 1 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)))) 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-4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) 1/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) 1/2) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/4) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) 1) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) 1) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) (cbrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))))) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) (cbrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))))) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/6)) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/12)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/12) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/12)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 c a) -4)) 1/12) (*.f64 (neg.f64 b) 1))))))

simplify227.0ms (1%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-def_binary64`
450×	`distribute-lft-in_binary64`
450×	`distribute-rgt-in_binary64`
434×	`times-frac_binary64`
406×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	754	9046
1	2827	7866

Stop Event

1×	node limit

Counts

214 → 277

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1) (pow.f64 b 1/3))
(+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (.f64 -2/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3))))
(+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (+.f64 (.f64 -2/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3))) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2/9 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -4/3 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (pow.f64 (*.f64 1 b) 1/3))))
(+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 8/9 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 -4/81 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -32/9 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (pow.f64 (.f64 1 b) 1/3)) (+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (+.f64 (.f64 -2/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3))) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2/9 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -4/3 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (pow.f64 (*.f64 1 b) 1/3)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (/.f64 (.f64 (+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 -1/82944 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/1152 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/4608 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3)) (/.f64 (.f64 (+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (/.f64 (.f64 (+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/4608 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/82944 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (/.f64 (.f64 (+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)))))
(*.f64 (sqrt.f64 1) (pow.f64 b 1/3))
(+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (.f64 -2/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3))))
(+.f64 (.f64 (pow.f64 (.f64 1 b) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 2/9 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -4/3 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))))) (+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (.f64 -2/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3)))))
(+.f64 (.f64 (pow.f64 (.f64 1 b) 1/3) (.f64 (pow.f64 a 2) (+.f64 (.f64 2/9 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -4/3 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))))) (+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (+.f64 (.f64 -2/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3))) (.f64 (pow.f64 (.f64 1 b) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 -4/81 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 -32/9 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 8/9 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))))))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))))
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(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3) (.f64 -1 (/.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) c)) (.f64 1/12 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) c))) a))) b)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/576 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 c 2))) (.f64 2 (.f64 (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (.f64 1/288 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) (pow.f64 a 2)) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3) (.f64 -1 (/.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) c)) (.f64 1/12 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) c))) a)))))) b)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) (pow.f64 a 2)) (+.f64 (.f64 1/288 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/576 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 c 2))) (.f64 2 (.f64 (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) c)) (.f64 1/12 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) c))) a)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 1/12 (/.f64 (.f64 (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (+.f64 (.f64 -1/4608 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/82944 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (+.f64 (.f64 (+.f64 (.f64 -1/4608 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/82944 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)) (+.f64 (.f64 1/12 (/.f64 (.f64 (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3))) c)) (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 1/576 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 c 2))) (.f64 2 (.f64 (+.f64 (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))))) c))))) (pow.f64 a 3)))))))) b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4))) (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)))) (pow.f64 b 2)) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 -1 b)))
(+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4))) (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)))) (pow.f64 b 2)) (+.f64 (.f64 (+.f64 (.f64 1/288 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/6) (+.f64 (.f64 -5/576 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3)) (.f64 1/576 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3)))) (.f64 -5/1152 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))))) (pow.f64 b 4)) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 -1 b))))
(*.f64 -1 b)
(+.f64 b (*.f64 -1 b))
(+.f64 (.f64 -4/3 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2/3 (.f64 (/.f64 (.f64 c a) b) (pow.f64 1 1/3))) (+.f64 b (.f64 -1 b))))
(+.f64 (.f64 -4/3 (/.f64 (.f64 c a) b)) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 11)) 1/3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -4/3 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))) (.f64 4/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -4/3 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3))) (+.f64 (.f64 8/9 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2/3 (.f64 (/.f64 (.f64 c a) b) (pow.f64 1 1/3))) (+.f64 b (.f64 -1 b)))))))
(*.f64 -1 b)
(.f64 2 (.f64 -1 b))
(+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (.f64 4/3 (/.f64 (.f64 c a) b)) (.f64 2 (*.f64 -1 b))))
(+.f64 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 11)) 1/3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -4/3 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))) (.f64 4/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))))) (+.f64 (.f64 -8/9 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (.f64 -1 (.f64 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -4/3 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (.f64 4/3 (/.f64 (.f64 c a) b)) (.f64 2 (.f64 -1 b)))))))

Outputs
(*.f64 (sqrt.f64 1) (pow.f64 b 1/3))
(cbrt.f64 b)
(+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (.f64 -2/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3))))
(+.f64 (.f64 -2/3 (.f64 (*.f64 c a) (cbrt.f64 (/.f64 1 (pow.f64 b 5))))) (cbrt.f64 b))
(fma.f64 -2/3 (.f64 (.f64 c a) (cbrt.f64 (/.f64 1 (pow.f64 b 5)))) (cbrt.f64 b))
(+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (+.f64 (.f64 -2/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3))) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2/9 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -4/3 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (pow.f64 (*.f64 1 b) 1/3))))
(+.f64 (cbrt.f64 b) (fma.f64 -2/3 (.f64 (.f64 c a) (cbrt.f64 (/.f64 1 (pow.f64 b 5)))) (.f64 (.f64 c c) (.f64 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 4)) -10/9) (cbrt.f64 b)))))
(+.f64 (fma.f64 -2/3 (.f64 (.f64 c a) (cbrt.f64 (/.f64 1 (pow.f64 b 5)))) (cbrt.f64 b)) (.f64 (.f64 c c) (.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) -10/9) (cbrt.f64 b))))
(+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 8/9 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 -4/81 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -32/9 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (pow.f64 (.f64 1 b) 1/3)) (+.f64 (.f64 (sqrt.f64 1) (pow.f64 b 1/3)) (+.f64 (.f64 -2/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3))) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2/9 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -4/3 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (pow.f64 (*.f64 1 b) 1/3)))))
(fma.f64 (.f64 (pow.f64 c 3) (fma.f64 8/9 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -292/81))) (cbrt.f64 b) (+.f64 (cbrt.f64 b) (fma.f64 -2/3 (.f64 (.f64 c a) (cbrt.f64 (/.f64 1 (pow.f64 b 5)))) (.f64 (.f64 c c) (.f64 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 4)) -10/9) (cbrt.f64 b))))))
(+.f64 (fma.f64 (pow.f64 c 3) (.f64 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -220/81) (cbrt.f64 b)) (cbrt.f64 b)) (fma.f64 (.f64 c c) (.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) -10/9) (cbrt.f64 b)) (.f64 (.f64 -2/3 (.f64 c a)) (cbrt.f64 (/.f64 1 (pow.f64 b 5))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(fma.f64 -1/24 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))))
(fma.f64 -1/24 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) (.f64 c a)) (.f64 b b)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (/.f64 (.f64 (+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2))))
(+.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))) (/.f64 (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -5/1152)) (*.f64 c c)))
(+.f64 (fma.f64 -1/24 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) (.f64 c a)) (.f64 b b)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))) (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) -5/1152) c)))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 -1/82944 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/1152 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/4608 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3)) (/.f64 (.f64 (+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/1152 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)))))
(+.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -5/1152)) (.f64 c c)) (/.f64 (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (fma.f64 -1/82944 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -1/1536))) (pow.f64 c 3))))
(+.f64 (fma.f64 -1/24 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) (.f64 c a)) (.f64 b b)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) -5/1152) c)) (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) (pow.f64 c 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -55/82944))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))))
(fma.f64 -1/24 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (.f64 b b) a)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))))
(fma.f64 -1/24 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))))
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(fma.f64 -4/3 (/.f64 c (/.f64 b a)) (fma.f64 -2/3 (/.f64 c (/.f64 b a)) 0))
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(fma.f64 -4/3 (/.f64 c (/.f64 b a)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 2 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -10/9) (cbrt.f64 (.f64 b b))) (.f64 4/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (cbrt.f64 (.f64 b b)))))) (fma.f64 1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -10/9) (pow.f64 b 3)) (fma.f64 8/9 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))) (fma.f64 -2/3 (/.f64 (.f64 (.f64 c a) 1) b) (.f64 0 b))))))
(fma.f64 -4/3 (/.f64 c (/.f64 b a)) (+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (cbrt.f64 (.f64 b b)) (+.f64 (.f64 2 (.f64 (.f64 (.f64 c a) (.f64 c a)) -10/9)) (.f64 4/9 (.f64 (.f64 c a) (.f64 c a))))) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (/.f64 (pow.f64 b 3) -10/9))) (fma.f64 8/9 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2/3 (/.f64 c (/.f64 b a)) 0))))
(*.f64 -1 b)
(neg.f64 b)
(.f64 2 (.f64 -1 b))
(*.f64 -2 b)
(+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (.f64 4/3 (/.f64 (.f64 c a) b)) (.f64 2 (*.f64 -1 b))))
(fma.f64 2/3 (/.f64 (.f64 (.f64 c a) 1) b) (fma.f64 4/3 (/.f64 c (/.f64 b a)) (*.f64 -2 b)))
(fma.f64 (/.f64 c (/.f64 b a)) 2/3 (fma.f64 (/.f64 c (/.f64 b a)) 4/3 (*.f64 -2 b)))
(+.f64 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 11)) 1/3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -4/3 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 2/9 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))) (.f64 4/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))))) (+.f64 (.f64 -8/9 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (.f64 -1 (.f64 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -4/3 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (.f64 4/3 (/.f64 (.f64 c a) b)) (.f64 2 (.f64 -1 b)))))))
(fma.f64 (cbrt.f64 (/.f64 -1 (pow.f64 b 11))) (fma.f64 2 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -10/9) (cbrt.f64 (.f64 b b))) (.f64 4/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (cbrt.f64 (.f64 b b)))))) (fma.f64 -8/9 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))) (fma.f64 2/3 (/.f64 (.f64 (.f64 c a) 1) b) (fma.f64 -1 (.f64 1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -10/9) (pow.f64 b 3))) (fma.f64 4/3 (/.f64 c (/.f64 b a)) (*.f64 -2 b))))))
(fma.f64 (cbrt.f64 (/.f64 -1 (pow.f64 b 11))) (.f64 (cbrt.f64 (.f64 b b)) (+.f64 (.f64 2 (.f64 (.f64 (.f64 c a) (.f64 c a)) -10/9)) (.f64 4/9 (.f64 (.f64 c a) (.f64 c a))))) (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) -8/9 (fma.f64 (/.f64 c (/.f64 b a)) 2/3 (-.f64 (fma.f64 (/.f64 c (/.f64 b a)) 4/3 (.f64 -2 b)) (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) -10/9))))))

localize97.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.2b	(/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
✓	15.9b	(sqrt.f64 (.f64 c (.f64 a -4)))
✓	20.8b	(-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (*.f64 b b))
	25.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 223 to 122 computations (45.3% saved)

series53.0ms (0.2%)

Counts

3 → 50

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	c	@	0	(/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
7.0ms	a	@	inf	(/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
7.0ms	c	@	inf	(/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
6.0ms	c	@	-inf	(/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
5.0ms	a	@	-inf	(/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
614×	`fma-def_binary64`
342×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	316	60
2	4624	60

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

Inputs

(-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b))

(sqrt.f64 (*.f64 c (*.f64 a -4)))

(/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))

Outputs

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b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (cbrt.f64 (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (cbrt.f64 (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (sqrt.f64 (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1) (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b))) 2) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (/.f64 (cbrt.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b))) 2) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (cbrt.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) 3/2))) (-.f64 (fma.f64 c (*.f64 a -4) (fma.f64 b b (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -4 (*.f64 c a) (*.f64 b b)) (-.f64 (*.f64 b b) (fma.f64 -4 (*.f64 c a) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (neg.f64 (/.f64 b (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b))))))))

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac_binary64`
632×	`fma-def_binary64`
604×	`associate-/l*_binary64`
462×	`associate-/r*_binary64`
370×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1008
1	399	846
2	1622	774

Stop Event

1×	node limit

Counts

266 → 242

Calls

Call 1

Inputs
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))

Outputs
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4)
(.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4 (.f64 4 (/.f64 b -4)))
(fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (.f64 -1 b))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (.f64 b b)) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 4 (/.f64 b -4) (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 -1/4 (sqrt.f64 -4))) (.f64 2 (*.f64 b b)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -4))) (.f64 b b) (.f64 -1 b)))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (.f64 b b)) (fma.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (neg.f64 (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (sqrt.f64 -4))) (/.f64 2 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 4)))) (pow.f64 b 3))))))
(fma.f64 4 (/.f64 b -4) (-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 -1/4 (sqrt.f64 -4))) (.f64 2 (.f64 b b)))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) 2)) (/.f64 2 (.f64 c (*.f64 a 16)))) (pow.f64 b 3))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -4))) (.f64 b b) (.f64 -1 b))) (.f64 (fma.f64 (/.f64 (.f64 2 (sqrt.f64 (/.f64 (/.f64 1 c) a))) 16) (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a))) (/.f64 (/.f64 1/8 a) c)) (pow.f64 b 3)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a)))) (.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 -2 (.f64 a (/.f64 c b)) (/.f64 (.f64 -2 (.f64 a (.f64 a (*.f64 c c)))) (pow.f64 b 3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a)))) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (.f64 -2 (.f64 (/.f64 c b) a))))
(fma.f64 -2 (.f64 a (/.f64 c b)) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 -2 (.f64 a (.f64 a (*.f64 c c)))) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a)))) (fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))) -5/32) (pow.f64 b 7)) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (.f64 -2 (.f64 (/.f64 c b) a))) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(+.f64 (fma.f64 -2 (.f64 a (/.f64 c b)) (/.f64 (.f64 -2 (.f64 a (.f64 a (.f64 c c)))) (pow.f64 b 3))) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) -10) (pow.f64 b 7))))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(/.f64 (*.f64 8 b) (pow.f64 (sqrt.f64 -4) 2))
(*.f64 (/.f64 b -4) 8)
(/.f64 b -1/2)
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 2 (/.f64 (*.f64 c a) b)))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (*.f64 (/.f64 c (/.f64 b a)) 2))
(fma.f64 (.f64 (/.f64 c b) a) 2 (.f64 (/.f64 b -4) 8))
(fma.f64 (*.f64 a (/.f64 c b)) 2 (/.f64 b -1/2))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 2 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a)))) -1/2)))
(fma.f64 (/.f64 b -4) 8 (fma.f64 (.f64 (/.f64 c b) a) 2 (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) 2) (pow.f64 b 3))))
(+.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (/.f64 b -1/2)) (/.f64 (.f64 2 (.f64 a (.f64 a (*.f64 c c)))) (pow.f64 b 3)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 1/4 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) -1/2) (/.f64 (pow.f64 b 5) (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a)))) (fma.f64 8 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a))) 2)) (.f64 (.f64 c a) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))) (fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a)))) (.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))))))))))
(fma.f64 (/.f64 b -4) 8 (fma.f64 (.f64 (/.f64 c b) a) 2 (+.f64 (fma.f64 8 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 c (.f64 (.f64 a 16) (pow.f64 b 5)))) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) 4) (pow.f64 b 3)))) (fma.f64 1/4 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) 2) (/.f64 (pow.f64 b 5) (.f64 a (.f64 c -4)))) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3))))))
(+.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (/.f64 b -1/2)) (fma.f64 1/4 (.f64 (.f64 c (.f64 a -4)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 (pow.f64 b 5) 2))) (+.f64 (/.f64 (.f64 2 (.f64 a (.f64 a (.f64 c c)))) (pow.f64 b 3)) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 (pow.f64 c 4) 1/16) (.f64 (pow.f64 c 4) 1/64))) (.f64 (.f64 c a) (pow.f64 b 5))) 1/2)))))

eval3.0s (13.1%)

Compiler: Compiled 92662 to 58311 computations (37.1% saved)

prune498.0ms (2.2%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1758	26	1784
Fresh	10	2	12
Picked	1	0	1
Done	2	2	4
Total	1771	30	1801

Error

2.1b

Counts

1801 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	45.2b	(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
▶	20.2b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
	34.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)) -1/8 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 3)) b) (/.f64 1/2 a)))
▶	30.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/6) 3) b) (/.f64 1/2 a)))
	20.1b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
	33.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 3) b) (/.f64 1/2 a)))
▶	23.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
	34.8b	(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	39.3b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	21.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1 b) 1/3) 3) b) (/.f64 1/2 a)))
	21.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	32.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
✓	23.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	21.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
	31.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) -1))
	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	31.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 1/2 a)))
	42.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 (.f64 c a) -4 (.f64 b b))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	36.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
✓	19.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	24.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b) (/.f64 1/2 a)))
	33.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 3) b) (/.f64 1/2 a)))
	20.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2/3 (fma.f64 (/.f64 c (/.f64 b a)) 4/3 (*.f64 -2 b))) (/.f64 1/2 a)))
	29.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
	45.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	35.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) (-.f64 (+.f64 (fma.f64 -1/12 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)) (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c) (/.f64 (fma.f64 1/576 (.f64 (/.f64 (pow.f64 b 4) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2) a)) (.f64 (.f64 2 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) -5/1152)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2))) c))) (+.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) -5/1152) c)) (fma.f64 1/288 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) (.f64 c c))) (.f64 -1/24 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)))))) b)) (/.f64 1/2 a)))
	31.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 3) b) (/.f64 1/2 a)))
▶	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
	31.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))

Compiler

Compiled 2390 to 1644 computations (31.2% saved)

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)
	1.7b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	8.7b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
✓	26.1b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 146 to 91 computations (37.7% saved)

series76.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
40.0ms	a	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
3.0ms	b	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	a	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	c	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	c	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

rewrite143.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
607×	`log-prod_binary64`
289×	`fma-def_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	308	41
2	3774	41

Stop Event

1×	node limit

Counts

3 → 253

Calls

Call 1

Inputs
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 -1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 c 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a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))))

simplify193.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-def_binary64`
566×	`associate-r_binary64`
448×	`times-frac_binary64`
418×	`associate-l_binary64`
355×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	7873
1	2124	7017

Stop Event

1×	node limit

Counts

361 → 442

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
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(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))

Outputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(pow.f64 (.f64 a (.f64 -4 c)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 a (.f64 -4 c)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 -3/2 (sqrt.f64 -1))))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (.f64 (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (*.f64 (sqrt.f64 b) 1)))
(fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (/.f64 (.f64 (*.f64 a a) -3/2) (pow.f64 b 4)) 1)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(fma.f64 -1 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (fma.f64 (.f64 (pow.f64 c 3) (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -10/3))) (.f64 (sqrt.f64 b) 1) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (.f64 (sqrt.f64 b) 1))))
(-.f64 (.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)))) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c))) (.f64 (/.f64 a b) (/.f64 c b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))))
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b
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(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 c (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))) (.f64 2 (.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (fma.f64 1/256 (/.f64 (pow.f64 b 4) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) (.f64 c a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) a) (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) a)) (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (/.f64 (.f64 (.f64 1/8 (.f64 (.f64 b b) (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) c)) (pow.f64 a 3)))

localize44.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 c b) (/.f64 b a))

Compiler

Compiled 60 to 23 computations (61.7% saved)

series9.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(-.f64 (/.f64 c b) (/.f64 b a))
1.0ms	b	@	inf	(-.f64 (/.f64 c b) (/.f64 b a))
1.0ms	b	@	0	(-.f64 (/.f64 c b) (/.f64 b a))
1.0ms	c	@	inf	(-.f64 (/.f64 c b) (/.f64 b a))
1.0ms	a	@	0	(-.f64 (/.f64 c b) (/.f64 b a))

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log-prod_binary64`
351×	`exp-prod_binary64`
337×	`pow-prod-down_binary64`
309×	`fma-def_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	2652	10

Stop Event

1×	node limit

Counts

1 → 147

Calls

Call 1

Inputs
(-.f64 (/.f64 c b) (/.f64 b a))

Outputs

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a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (/.f64 1 b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (/.f64 1 b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (neg.f64 (/.f64 1 a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b) 1 (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b) 1 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(sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -2))) (cbrt.f64 (/.f64 b a)) (/.f64 c b))))))

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

506×	`fma-def_binary64`
266×	`fma-neg_binary64`
120×	`associate-/l*_binary64`
96×	`cancel-sign-sub-inv_binary64`
94×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	368
1	14	314
2	24	314
3	34	314
4	47	314
5	71	314
6	119	314
7	175	314
8	257	314
9	408	314
10	679	314
11	1121	314
12	1656	314
13	2118	314
14	2220	314
15	2224	314
16	2236	314
17	2246	314

Stop Event

1×

saturated

Counts

183 → 152

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))
✓	0.0b	(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
✓	3.1b	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
✓	7.9b	(/.f64 (*.f64 c a) b)

Compiler

Compiled 123 to 58 computations (52.8% saved)

series20.0ms (0.1%)

Counts

4 → 81

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
1.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
1.0ms	c	@	0	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
1.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log-prod_binary64`
444×	`fma-def_binary64`
298×	`fma-neg_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	343	52
2	4953	52

Stop Event

1×	node limit

Counts

4 → 265

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) b)
(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 c (/.f64 b a)))) (cbrt.f64 (exp.f64 (/.f64 c (/.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (/.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (/.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 a (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 c (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c a) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 c (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2)) (cbrt.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 (cbrt.f64 (.f64 c a)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 c (/.f64 b a))) (sqrt.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (.f64 c a)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (neg.f64 a)) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 b) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 1) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c 1) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c b) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 c a)) 1) (/.f64 (sqrt.f64 (.f64 c a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (.f64 c a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (.f64 c a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (.f64 c a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (.f64 c a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 c (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 b a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))) 2) (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) 2) (.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))) (sqrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (.f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 a) (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (/.f64 1 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) 2) a) (/.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) 2))))) (#(struct:change 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c (/.f64 b a)) 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (cbrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2))) (cbrt.f64 (/.f64 c (/.f64 b a))) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 (/.f64 c (/.f64 b a)))) (sqrt.f64 (/.f64 c (/.f64 b a))) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 (/.f64 c (/.f64 b a)) 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 (/.f64 c (/.f64 b a)) 2 b))))))

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-def_binary64`
432×	`times-frac_binary64`
405×	`associate-/r/_binary64`
287×	`distribute-rgt-neg-in_binary64`
273×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	874
1	62	820
2	122	820
3	277	793
4	1108	793
5	4231	793

Stop Event

1×	node limit

Counts

346 → 283

Calls

Call 1

Inputs
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(*.f64 -1 b)
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 -1 b)
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 -1 b)
(*.f64 -1 b)
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(-.f64 (*.f64 -1 b) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (*.f64 -1 b) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)

Outputs
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 b)
(neg.f64 b)
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(*.f64 -1 b)
(neg.f64 b)
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (*.f64 -1 b) b)
(*.f64 b -2)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (*.f64 -1 b) b)
(*.f64 b -2)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 c (.f64 2 (/.f64 a b)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)) b)
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 c (/.f64 a b)) b))

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(fma.f64 b b (.f64 c (.f64 a -4)))
	1.9b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	19.4b	(pow.f64 (.f64 c (.f64 a -4)) 1/6)
	25.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 158 to 104 computations (34.2% saved)

series129.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	c	@	-inf	(pow.f64 (.f64 c (.f64 a -4)) 1/6)
25.0ms	c	@	0	(pow.f64 (.f64 c (.f64 a -4)) 1/6)
17.0ms	a	@	0	(pow.f64 (.f64 c (.f64 a -4)) 1/6)
16.0ms	a	@	-inf	(pow.f64 (.f64 c (.f64 a -4)) 1/6)
11.0ms	c	@	inf	(pow.f64 (.f64 c (.f64 a -4)) 1/6)

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`pow1_binary64`
719×	`add-log-exp_binary64`
719×	`log1p-expm1-u_binary64`
719×	`expm1-log1p-u_binary64`
702×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	1981	10

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(pow.f64 (.f64 c (.f64 a -4)) 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c 1/6) (pow.f64 (*.f64 a -4) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a -4) 1/6) (pow.f64 c 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/12) (pow.f64 (*.f64 c (*.f64 a -4)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (*.f64 c (*.f64 a -4)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 2) 1/6) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 1/6) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/6) (pow.f64 -4 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 (*.f64 c (*.f64 a -4)))))))))

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-neg_binary64`
636×	`div-sub_binary64`
524×	`fma-def_binary64`
465×	`exp-sum_binary64`
365×	`exp-diff_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	384
1	128	384
2	331	312
3	832	240
4	2292	240
5	5990	240

Stop Event

1×	node limit

Counts

42 → 25

Calls

Call 1

Inputs
(exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))

Outputs
(exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 1/6) (pow.f64 (.f64 -4 a) 1/6))
(pow.f64 (.f64 (.f64 a -4) c) 1/6)

localize83.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	10.4b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b)
	25.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	26.2b	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

Compiler

Compiled 178 to 102 computations (42.7% saved)

series49.0ms (0.2%)

Counts

2 → 26

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	a	@	0	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b)
3.0ms	c	@	0	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b)
2.0ms	b	@	0	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
2.0ms	b	@	0	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b)
2.0ms	c	@	inf	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b)

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`prod-diff_binary64`
524×	`log-prod_binary64`
340×	`fma-def_binary64`
311×	`pow2_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	255	29
2	3187	28

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) 2) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a 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fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 3/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 3/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 (*.f64 c a) -4 (*.f64 b b)) 1/4) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))

simplify189.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

544×	`unswap-sqr_binary64`
329×	`distribute-lft-in_binary64`
329×	`distribute-rgt-in_binary64`
319×	`associate-r_binary64`
311×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	1817
1	738	1691
2	2864	1522
3	6926	1522

Stop Event

1×	node limit

Counts

152 → 164

Calls

Call 1

Inputs
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))))) (pow.f64 (pow.f64 b 2) 1/3))))
(.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -4)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -4)) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2) b)
(-.f64 (+.f64 (.f64 -2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)) b)
(-.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b)) (+.f64 (.f64 -2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))) b)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 (.f64 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) a) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))) (+.f64 (.f64 1/4 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3)))) (pow.f64 b 2))) (+.f64 (.f64 -128/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))) (.f64 -128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))))))) (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3) (pow.f64 a 3))))) (.f64 (pow.f64 c 3) b)) (+.f64 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b)) (+.f64 (.f64 -2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))) b)
(-.f64 (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2) b)
(-.f64 (+.f64 (.f64 -2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)) b)
(-.f64 (+.f64 (.f64 -2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (.f64 2 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b)) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))) b)
(-.f64 (+.f64 (.f64 -2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (.f64 2 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b)) (+.f64 (.f64 (pow.f64 a 3) (.f64 b (+.f64 (.f64 -4/3 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (+.f64 (.f64 1/4 (+.f64 (.f64 -128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3)))) (+.f64 (.f64 -128/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (pow.f64 b 2)))))) (.f64 -3/2 (.f64 (.f64 c (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))))))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))) b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 4) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6))))))))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))))
(*.f64 -1 b)
(*.f64 -1 b)

Outputs
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 128/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (pow.f64 a 3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) -64/27)) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27)) (cbrt.f64 (*.f64 b b)))))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -16/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)))) (fma.f64 -1/3 (.f64 (pow.f64 c 3) (.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) -64/27)) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))))) (fma.f64 -4/3 (.f64 c (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27)) (cbrt.f64 (*.f64 b b)))))
(.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -4)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 b (/.f64 (pow.f64 (cbrt.f64 -4) 2) b))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -4))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 b (/.f64 (pow.f64 (cbrt.f64 -4) 2) b))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -4)) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 a a)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 b (/.f64 (pow.f64 (cbrt.f64 -4) 2) b))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (*.f64 (pow.f64 b 6) 5/81) (pow.f64 (cbrt.f64 -4) 8))))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2) b)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) b)
(-.f64 (+.f64 (.f64 -2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)) b)
(-.f64 (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2)) b)
(fma.f64 (.f64 (.f64 c a) -2) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) (-.f64 (pow.f64 (cbrt.f64 (.f64 b b)) 3/2) b))
(-.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))) (.f64 -32/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2))))) (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9) (pow.f64 a 2)))) b)) (+.f64 (.f64 -2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))) b)
(-.f64 (fma.f64 (.f64 c c) (.f64 b (fma.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 2 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))))) (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))) b)
(fma.f64 (.f64 (.f64 c c) (fma.f64 2 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -4))) b (-.f64 (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)) b))
(fma.f64 (.f64 (.f64 c c) (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -2)) b (fma.f64 (.f64 (.f64 c a) -2) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) (-.f64 (pow.f64 (cbrt.f64 (.f64 b b)) 3/2) b)))
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(-.f64 (fma.f64 (fma.f64 -3/2 (.f64 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 1/4 (fma.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4))))) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) -64/27)) (.f64 b b)) (fma.f64 -128/27 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 -128/9 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10))))))) (.f64 -4/3 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10))))))) (.f64 b (pow.f64 c 3)) (fma.f64 (.f64 c c) (.f64 b (fma.f64 3/4 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 2 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))))) (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2)))) b)
(fma.f64 (fma.f64 -3/2 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 (.f64 a a) -16/3)) (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 -4/3 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 1/4 (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27) (.f64 b b)) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27))))) (.f64 b (pow.f64 c 3)) (fma.f64 (.f64 (.f64 c c) (fma.f64 2 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -4))) b (-.f64 (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2)) b)))
(+.f64 (fma.f64 -2 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2)) (-.f64 (.f64 b (.f64 (.f64 c c) (+.f64 (.f64 (fma.f64 -3/2 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 (.f64 a a) -16/3)) (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 -4/3 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 1/4 (fma.f64 -2 (.f64 (/.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) b) (/.f64 320/27 b)) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27))))) c) (.f64 (.f64 (.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -2)))) b))
(+.f64 (fma.f64 (.f64 (.f64 c a) -2) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) (-.f64 (pow.f64 (cbrt.f64 (.f64 b b)) 3/2) b)) (.f64 b (.f64 (.f64 c c) (+.f64 (.f64 (fma.f64 -3/2 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 (.f64 a a) -16/3)) (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))) (fma.f64 -4/3 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 1/4 (fma.f64 -2 (.f64 (/.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) b) (/.f64 320/27 b)) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27))))) c) (.f64 (.f64 (.f64 a a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -2)))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2) b)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2) b)
(-.f64 (+.f64 (.f64 -2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)) b)
(-.f64 (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2)) b)
(fma.f64 (.f64 (.f64 c a) -2) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)) (-.f64 (pow.f64 (cbrt.f64 (.f64 b b)) 3/2) b))
(-.f64 (+.f64 (.f64 -2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (.f64 2 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b)) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2))) b)
(-.f64 (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (fma.f64 (.f64 a a) (.f64 b (fma.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 2 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))) b)
(-.f64 (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (fma.f64 (.f64 a a) (.f64 b (fma.f64 2 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) (.f64 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) -4))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2))) b)
(-.f64 (fma.f64 -2 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (fma.f64 (.f64 a a) (.f64 b (.f64 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) -2)) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2))) b)
(-.f64 (+.f64 (.f64 -2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 b) 1/9))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (.f64 2 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9)))) b)) (+.f64 (.f64 (pow.f64 a 3) (.f64 b (+.f64 (.f64 -4/3 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (+.f64 (.f64 1/4 (+.f64 (.f64 -128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3)))) (+.f64 (.f64 -128/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/3))) (.f64 -2 (/.f64 (+.f64 (.f64 128/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3)))) (pow.f64 b 2)))))) (.f64 -3/2 (.f64 (.f64 c (+.f64 (.f64 -16/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))) (.f64 -32/9 (*.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/9))))))) (pow.f64 (pow.f64 (pow.f64 b 2) 1/3) 3/2)))) b)
(-.f64 (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (fma.f64 (.f64 a a) (.f64 b (fma.f64 3/4 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 2 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))))) (fma.f64 (pow.f64 a 3) (.f64 b (fma.f64 -4/3 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/4 (fma.f64 -128/9 (.f64 (pow.f64 c 3) (.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 b 10))))) (fma.f64 -128/27 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (.f64 -2 (/.f64 (fma.f64 128/9 (.f64 (.f64 (pow.f64 c 3) 1) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 -64/27 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))))) (.f64 b b))))) (.f64 -3/2 (.f64 c (.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18))) -16/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)))))))) (pow.f64 (cbrt.f64 (*.f64 b b)) 3/2)))) b)
(-.f64 (fma.f64 -2 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18))) (fma.f64 (.f64 a a) (.f64 b (fma.f64 2 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) (.f64 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) -4))) (fma.f64 (pow.f64 a 3) (.f64 b (fma.f64 -4/3 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 -3/2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)) (.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 (.f64 c c) -16/3)))) (.f64 1/4 (fma.f64 -128/9 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 -2 (/.f64 (fma.f64 128/9 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 c 3) -64/27))) (.f64 b b)) (.f64 (pow.f64 c 3) (.f64 -128/27 (cbrt.f64 (/.f64 1 (pow.f64 b 10))))))))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2)))) b)
(-.f64 (fma.f64 -2 (.f64 a (.f64 c (.f64 (pow.f64 (/.f64 1 b) 1/18) (pow.f64 (/.f64 1 b) 1/18)))) (fma.f64 (.f64 a a) (.f64 b (.f64 (.f64 c (.f64 c (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)))) -2)) (fma.f64 (pow.f64 a 3) (.f64 b (fma.f64 -4/3 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) (fma.f64 1/4 (+.f64 (.f64 (/.f64 -2 (.f64 b b)) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27)) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 10)))) -512/27)) (.f64 c (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 10)) 1/18)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 20)) 1/18)) (.f64 (.f64 c c) -16/3))) -3/2))))) (pow.f64 (cbrt.f64 (.f64 b b)) 3/2)))) b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)))
(-.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 -4) (.f64 (.f64 b b) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b)
(-.f64 (.f64 (sqrt.f64 -4) (+.f64 (sqrt.f64 (.f64 c a)) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 b b)))) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 4) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (-.f64 (.f64 -4/3 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6)))) (pow.f64 1 1/3))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -4) 6))))))))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (.f64 (pow.f64 b 4) (+.f64 (/.f64 1/128 (.f64 (.f64 c c) (.f64 a a))) (.f64 1/16 (-.f64 (.f64 -4/3 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -4) 6))))) (/.f64 8/3 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -4) 6))))))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 b 4) (.f64 (fma.f64 1/16 (.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 a a) 16))) -4) (/.f64 1/128 (.f64 (.f64 c a) (.f64 c a)))) (sqrt.f64 -4))) (-.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 -4) (.f64 (.f64 b b) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 b 4) (.f64 (fma.f64 1/16 (/.f64 -4 (.f64 c (.f64 c (.f64 (.f64 a a) 16)))) (/.f64 1/128 (.f64 c (.f64 c (.f64 a a))))) (sqrt.f64 -4))) (-.f64 (.f64 (sqrt.f64 -4) (+.f64 (sqrt.f64 (.f64 c a)) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 b b)))) b))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

eval2.5s (10.7%)

Compiler: Compiled 68735 to 42208 computations (38.6% saved)

prune326.0ms (1.4%)

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	1369	25	1394
Fresh	7	16	23
Picked	1	0	1
Done	2	4	6
Total	1379	45	1424

Error

0.6b

Counts

1424 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	31.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) 3)) (.f64 -1 b))) (.f64 2 a)))
	35.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) (-.f64 (+.f64 (fma.f64 -1/12 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)) (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c) (/.f64 (fma.f64 1/576 (.f64 (/.f64 (pow.f64 b 4) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2) a)) (.f64 (.f64 2 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) -5/1152)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2))) c))) (+.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) -5/1152) c)) (fma.f64 1/288 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) (.f64 c c))) (.f64 -1/24 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)))))) b)) (/.f64 1/2 a)))
	29.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
	37.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (expm1.f64 (log1p.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)))) (.f64 2 a)))
	29.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)) 3/2) b) (/.f64 1/2 a)))
	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	45.2b	(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	39.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
▶	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
✓	20.2b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
	34.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)) -1/8 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 3)) b) (/.f64 1/2 a)))
✓	30.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/6) 3) b) (/.f64 1/2 a)))
	31.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 3) b) (/.f64 1/2 a)))
▶	20.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
	33.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 3) b) (/.f64 1/2 a)))
	34.8b	(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	39.3b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	29.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 c (.f64 a -4)))) 3) b) (/.f64 1/2 a)))
	21.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1 b) 1/3) 3) b) (/.f64 1/2 a)))
	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8) 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
	30.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 3)))
	21.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	33.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a))))) 3) b) (/.f64 1/2 a)))
▶	32.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
✓	23.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	31.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) -1))
	31.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 1/2 a)))
	42.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 (.f64 c a) -4 (.f64 b b))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	36.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
	30.1b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
	31.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
✓	19.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
▶	24.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b) (/.f64 1/2 a)))
	33.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 a -4) 1/6) (pow.f64 c 1/6)) 3) b) (/.f64 1/2 a)))
	28.5b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
	31.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
	20.6b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 3))
	32.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	35.3b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
	29.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
	45.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
▶	26.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (exp.f64 (log.f64 (/.f64 c (/.f64 b a))))) (.f64 -1 b))) (.f64 2 a)))

Compiler

Compiled 3227 to 2230 computations (30.9% saved)

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2)
✓	1.4b	(+.f64 (.f64 c (.f64 a -4)) (*.f64 b b))
✓	8.7b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
✓	26.1b	(pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4)

Compiler

Compiled 155 to 92 computations (40.6% saved)

series20.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4)
1.0ms	a	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
1.0ms	c	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
1.0ms	a	@	-inf	(pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4)

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log-prod_binary64`
495×	`fma-def_binary64`
294×	`fma-neg_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	338	52
2	4420	52

Stop Event

1×	node limit

Counts

4 → 287

Calls

Call 1

Inputs
(pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4)
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
(+.f64 (.f64 c (.f64 a -4)) (*.f64 b b))
(pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8) (.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8) 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 b 3) (pow.f64 (.f64 a (.f64 -4 c)) 3/2)) (hypot.f64 (.f64 a (.f64 -4 c)) (sqrt.f64 (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) 1))))))

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-def_binary64`
565×	`associate-r_binary64`
448×	`times-frac_binary64`
417×	`associate-l_binary64`
355×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	588	8299
1	2127	7365

Stop Event

1×	node limit

Counts

431 → 483

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))))
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
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(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))) (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 (pow.f64 b 4) (+.f64 (.f64 1/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (.f64 -3/256 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4)))))))
(+.f64 (.f64 (+.f64 (.f64 -7/4096 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -4))) (.f64 3/4096 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -4)))) (pow.f64 b 6)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 (pow.f64 b 4) (+.f64 (.f64 1/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (.f64 -3/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 -4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 -4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))))

Outputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(*.f64 1 (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 1 (sqrt.f64 b)))
(-.f64 (sqrt.f64 b) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
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(fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -2 (/.f64 (.f64 c a) b) (.f64 -4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))))
(+.f64 (fma.f64 2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) b) (fma.f64 -2 (/.f64 a (/.f64 b c)) (.f64 -4 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 -4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))))
(fma.f64 2 (/.f64 (fma.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/2)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2)))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -2 (/.f64 (.f64 c a) b) (.f64 -4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))))))
(fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (pow.f64 b 5)) (fma.f64 -2 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)))) (+.f64 (fma.f64 2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) b) (fma.f64 -2 (/.f64 a (/.f64 b c)) (.f64 -4 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(-.f64 (*.f64 2 (/.f64 a (/.f64 b c))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (-.f64 (.f64 2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c)))) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 5))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 2 (/.f64 c (/.f64 (pow.f64 b 5) (.f64 a (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2)))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 (fma.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/2)) (pow.f64 b 5)) (fma.f64 4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 2 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)))) (fma.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) (-.f64 (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (pow.f64 b 5)) (.f64 4 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))))) b))))

localize20.0ms (0.1%)

Compiler: Compiled 61 to 35 computations (42.6% saved)

localize43.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))
✓	0.1b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
	15.9b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 103 to 64 computations (37.9% saved)

series34.0ms (0.1%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
6.0ms	a	@	-inf	(-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))
3.0ms	c	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
3.0ms	a	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`log-prod_binary64`
360×	`fma-def_binary64`
338×	`pow2_binary64`
255×	`pow-unpow_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	285	30
2	3985	30

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

Inputs
(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
(-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 -1 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 -1 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 -1 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b))) 2) (cbrt.f64 (/.f64 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egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))) (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))) (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (*.f64 c (*.f64 a -4))) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))) (*.f64 c (*.f64 a -4))))) (+.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))) (*.f64 c (*.f64 a -4))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a -4))) (sqrt.f64 c) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b b (*.f64 (neg.f64 c) (*.f64 a -4))) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b b (*.f64 (neg.f64 c) (*.f64 a -4))) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (*.f64 c (*.f64 a -4))) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b b (*.f64 (neg.f64 c) (*.f64 a -4))) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b b (*.f64 (neg.f64 c) (*.f64 a -4))) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c) b)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a -4))) (sqrt.f64 c) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (*.f64 c (*.f64 a -4))) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (*.f64 c (*.f64 a -4)) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a -4))) (sqrt.f64 c) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 a -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1))))))

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

579×	`div-sub_binary64`
541×	`times-frac_binary64`
370×	`fma-neg_binary64`
294×	`associate-/r*_binary64`
287×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	732
1	222	641
2	748	620
3	3860	604
4	4659	604
5	5110	604
6	7184	604

Stop Event

1×	node limit

Counts

202 → 196

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 c b))
(.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 2 (.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2))))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 2 (.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2))))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))))
(*.f64 -2 (/.f64 c b))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(*.f64 -1 b)
(*.f64 -1 b)

Outputs
(*.f64 -2 (/.f64 c b))
(*.f64 (/.f64 -2 b) c)
(.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 (.f64 -2 (sqrt.f64 (/.f64 c a))) (/.f64 1 (sqrt.f64 -4)))
(*.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 (.f64 -2 (sqrt.f64 (/.f64 c a))) (/.f64 1 (sqrt.f64 -4))))
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (/.f64 b a) -1/2))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 -2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b (sqrt.f64 -4)) (/.f64 b -4)))) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 -2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -4 (*.f64 b b))))))
(fma.f64 -1/2 (/.f64 b a) (.f64 (/.f64 -2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (/.f64 -4 (.f64 b b))))))
(+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))
(fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 -2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 -4) 3))) (/.f64 (.f64 2 (pow.f64 b 3)) (.f64 (.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (fma.f64 -2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b (sqrt.f64 -4)) (/.f64 b -4)))) (.f64 2 (/.f64 (pow.f64 b 3) (.f64 (.f64 c 16) (.f64 a a))))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 b (sqrt.f64 -4)) (/.f64 b -4)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (.f64 (/.f64 b a) -1/2)))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (.f64 (/.f64 -2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -4 (.f64 b b)))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (pow.f64 b 3) c) (.f64 (/.f64 -2 (sqrt.f64 -4)) (+.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (/.f64 -4 (*.f64 b b)))))))
(*.f64 -2 (/.f64 c b))
(*.f64 (/.f64 -2 b) c)
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(fma.f64 -2 (/.f64 c b) (.f64 2 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))
(fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (.f64 (sqrt.f64 -4) 2) (.f64 b b)) (.f64 -2 (/.f64 c b)))
(fma.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (.f64 (sqrt.f64 -4) 2) (.f64 b b)) (.f64 -2 (/.f64 c b)))
(fma.f64 2 (.f64 (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) b) (/.f64 (sqrt.f64 -4) b)) (*.f64 (/.f64 -2 b) c))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 2 (.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4)) (.f64 2 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 8 a))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (sqrt.f64 -4) (.f64 b b))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 8 a))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) b) (/.f64 (sqrt.f64 -4) b)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 8 a))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (.f64 (sqrt.f64 -4) -4) (pow.f64 b 4)) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4)))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (.f64 (/.f64 -4 (pow.f64 b 4)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 8 a))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 8 a))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 8 a))))
(*.f64 -2 (/.f64 c b))
(*.f64 (/.f64 -2 b) c)
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))
(fma.f64 -2 (/.f64 c b) (.f64 2 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))
(fma.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (.f64 (sqrt.f64 -4) 2) (.f64 b b)) (.f64 -2 (/.f64 c b)))
(fma.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (.f64 (sqrt.f64 -4) 2) (.f64 b b)) (.f64 -2 (/.f64 c b)))
(fma.f64 2 (.f64 (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) b) (/.f64 (sqrt.f64 -4) b)) (*.f64 (/.f64 -2 b) c))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 2 (.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a -4)) (.f64 2 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 8 a))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (sqrt.f64 -4) (.f64 b b))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 8 a))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (/.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) b) (/.f64 (sqrt.f64 -4) b)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 8 a))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 5) (pow.f64 a 3))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (.f64 2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (/.f64 (.f64 (sqrt.f64 -4) -4) (pow.f64 b 4)) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a -4)))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5))) (.f64 (/.f64 -4 (pow.f64 b 4)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 8 a))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 a (pow.f64 c 3))) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 8 a))))
(fma.f64 -2 (/.f64 c b) (fma.f64 2 (.f64 (/.f64 (sqrt.f64 -4) (.f64 b b)) (+.f64 (.f64 (pow.f64 c 3/2) (sqrt.f64 a)) (/.f64 (.f64 -4 (.f64 (pow.f64 c 5/2) (pow.f64 a 3/2))) (.f64 b b)))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 8 a))))
(*.f64 -2 (/.f64 c b))
(*.f64 (/.f64 -2 b) c)
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))))
(.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (.f64 c a))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(neg.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (exp.f64 (log.f64 (/.f64 c (/.f64 b a))))) (.f64 -1 b))) (*.f64 2 a))
✓	2.0b	(exp.f64 (log.f64 (/.f64 c (/.f64 b a))))
✓	3.2b	(/.f64 c (/.f64 b a))
✓	14.7b	(log.f64 (/.f64 c (/.f64 b a)))

Compiler

Compiled 146 to 60 computations (58.9% saved)

series161.0ms (0.7%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
65.0ms	c	@	-inf	(log.f64 (/.f64 c (/.f64 b a)))
20.0ms	b	@	-inf	(log.f64 (/.f64 c (/.f64 b a)))
13.0ms	c	@	0	(log.f64 (/.f64 c (/.f64 b a)))
13.0ms	a	@	-inf	(log.f64 (/.f64 c (/.f64 b a)))
13.0ms	a	@	0	(log.f64 (/.f64 c (/.f64 b a)))

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`fma-def_binary64`
332×	`fma-neg_binary64`
279×	`expm1-udef_binary64`
279×	`log1p-udef_binary64`
268×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	372	43
2	5300	43

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

Inputs
(log.f64 (/.f64 c (/.f64 b a)))
(/.f64 c (/.f64 b a))
(exp.f64 (log.f64 (/.f64 c (/.f64 b a))))
(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (exp.f64 (log.f64 (/.f64 c (/.f64 b a))))) (.f64 -1 b))) (*.f64 2 a))

Outputs
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b b)) (/.f64 1/2 a))) 2) (cbrt.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) (.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))) (sqrt.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 a) (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (fma.f64 (.f64 a (/.f64 c b)) 2 b)) (/.f64 1 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) 2)) a) (/.f64 (cbrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) a) (/.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) 2) (/.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) 2)) 2) (/.f64 (cbrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) 1) (/.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (cbrt.f64 (.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) 2)) (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (sqrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) (cbrt.f64 (.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (sqrt.f64 (.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) 2)) (sqrt.f64 (.f64 a 2))) (/.f64 (cbrt.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) (sqrt.f64 (.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (/.f64 a (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) 3) (pow.f64 (.f64 a 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (.f64 a (/.f64 c b)) 2 (+.f64 b b)) (/.f64 1/2 a))) 1))))))

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

463×	`fma-neg_binary64`
398×	`unsub-neg_binary64`
356×	`sub-neg_binary64`
307×	`distribute-rgt-neg-in_binary64`
279×	`associate--r-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	1288
1	132	1234
2	259	1230
3	676	1230
4	2429	1230
5	5963	1230

Stop Event

1×	node limit

Counts

335 → 162

Calls

Call 1

Inputs
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (.f64 -1 (.f64 c a))))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (.f64 -1 (.f64 c a))))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (.f64 -1 (.f64 c a))))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (.f64 -1 (.f64 c a))))
(+.f64 (log.f64 a) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 c b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))

Outputs
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
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(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))

localize85.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.6b	(exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2))
✓	24.5b	(-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b)
	25.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	26.3b	(log.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

Compiler

Compiled 192 to 111 computations (42.2% saved)

series11.0ms (0%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(log.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
0.0ms	c	@	inf	(log.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
0.0ms	a	@	inf	(-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b)
0.0ms	c	@	inf	(-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b)
0.0ms	c	@	-inf	(-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b)

rewrite145.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`prod-diff_binary64`
583×	`log-prod_binary64`
339×	`fma-def_binary64`
330×	`pow2_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	266	42
2	3287	40

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

Inputs
(log.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
(-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b)
(exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

760×	`associate-r_binary64`
687×	`associate-l_binary64`
676×	`associate-/l*_binary64`
625×	`associate-/r*_binary64`
359×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	2654
1	644	2537
2	2208	2498

Stop Event

1×	node limit

Counts

284 → 306

Calls

Call 1

Inputs
(log.f64 (pow.f64 b 2))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (pow.f64 b 2)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2)))))
(+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(log.f64 (pow.f64 b 2))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (pow.f64 b 2)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(log.f64 (.f64 -4 (.f64 c a)))
(+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(*.f64 -2 (log.f64 (/.f64 1 b)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 1 b))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 -8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4)))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 -8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))))))
(*.f64 -2 (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))

Outputs
(log.f64 (pow.f64 b 2))
(*.f64 2 (log.f64 b))
(log.f64 (*.f64 b b))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (pow.f64 b 2)))
(fma.f64 -4 (/.f64 c (/.f64 (.f64 b b) a)) (.f64 2 (log.f64 b)))
(fma.f64 2 (log.f64 b) (.f64 (.f64 (/.f64 c b) a) (/.f64 -4 b)))
(fma.f64 2 (log.f64 b) (.f64 (/.f64 c b) (.f64 (/.f64 a b) -4)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2))))
(fma.f64 -4 (/.f64 c (/.f64 (.f64 b b) a)) (fma.f64 -8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 a a))) (.f64 2 (log.f64 b))))
(fma.f64 -4 (.f64 (/.f64 c b) (/.f64 a b)) (fma.f64 -8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 a a))) (.f64 2 (log.f64 b))))
(fma.f64 -4 (.f64 (/.f64 c b) (/.f64 a b)) (fma.f64 2 (log.f64 b) (.f64 (/.f64 (.f64 c (.f64 c -8)) (pow.f64 b 4)) (*.f64 a a))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2)))))
(fma.f64 -4 (/.f64 c (/.f64 (.f64 b b) a)) (fma.f64 -64/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (fma.f64 -8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 a a))) (.f64 2 (log.f64 b)))))
(fma.f64 -4 (.f64 (/.f64 c b) (/.f64 a b)) (fma.f64 -64/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (fma.f64 -8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 a a))) (.f64 2 (log.f64 b)))))
(fma.f64 -4 (.f64 (/.f64 c b) (/.f64 a b)) (fma.f64 -64/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (fma.f64 2 (log.f64 b) (.f64 (/.f64 (.f64 c (.f64 c -8)) (pow.f64 b 4)) (*.f64 a a)))))
(+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))
(log.f64 (.f64 -4 (.f64 c a)))
(log.f64 (.f64 c (.f64 -4 a)))
(+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (log.f64 (.f64 -4 a)) (fma.f64 -1 (neg.f64 (log.f64 c)) (.f64 -1/4 (/.f64 (.f64 b b) (.f64 c a)))))
(fma.f64 -1/4 (/.f64 b (.f64 (/.f64 c b) a)) (log.f64 (.f64 -4 (*.f64 c a))))
(fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c (*.f64 -4 a))))
(+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (log.f64 (.f64 -4 a)) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (fma.f64 -1 (neg.f64 (log.f64 c)) (.f64 -1/4 (/.f64 (.f64 b b) (*.f64 c a))))))
(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (.f64 c c)))) (fma.f64 -1/4 (/.f64 b (.f64 (/.f64 c b) a)) (log.f64 (.f64 -4 (.f64 c a)))))
(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c (.f64 -4 a)))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (log.f64 (.f64 -4 a)) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (fma.f64 -1 (neg.f64 (log.f64 c)) (.f64 -1/4 (/.f64 (.f64 b b) (.f64 c a)))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 a (.f64 a (.f64 c c)))) (fma.f64 -1/4 (/.f64 b (.f64 (/.f64 c b) a)) (log.f64 (.f64 -4 (*.f64 c a))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c (*.f64 -4 a))))))
(+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))
(-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))
(+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (log.f64 (.f64 a 4)) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (.f64 -1/4 (/.f64 (.f64 b b) (.f64 c a)))))
(+.f64 (.f64 -1/4 (/.f64 b (.f64 (/.f64 c b) a))) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(+.f64 (.f64 (/.f64 -1/4 c) (/.f64 b (/.f64 a b))) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))
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(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4))) (fma.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (.f64 (/.f64 c b) a))) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 (/.f64 c b) (.f64 a -2))) (fma.f64 -2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (.f64 2 (.f64 (/.f64 c b) a)) b)
(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))) (neg.f64 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (-.f64 (.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))) b)))

eval1.2s (5.3%)

Compiler: Compiled 58224 to 37650 computations (35.3% saved)

prune236.0ms (1%)

Pruning

47 alts after pruning (39 fresh and 8 done)

	Pruned	Kept	Total
New	1215	13	1228
Fresh	10	26	36
Picked	1	0	1
Done	0	8	8
Total	1226	47	1273

Error

0.4b

Counts

1273 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	31.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) 3)) (.f64 -1 b))) (.f64 2 a)))
	37.5b	(if (>=.f64 b 0) (.f64 (/.f64 -1 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b)) (+.f64 c c)) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	29.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
	21.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	29.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)) 3/2) b) (/.f64 1/2 a)))
	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	45.2b	(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	39.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
✓	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
✓	20.2b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
✓	30.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/6) 3) b) (/.f64 1/2 a)))
	31.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))) 1/2)) b) (/.f64 1/2 a)))
	31.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 3) b) (/.f64 1/2 a)))
✓	20.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
	37.6b	(if (>=.f64 b 0) (.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (.f64 (cbrt.f64 (+.f64 c c)) (/.f64 -1 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	29.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 c (.f64 a -4)))) 3) b) (/.f64 1/2 a)))
	30.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 c (*.f64 -4 a))) 1/2)) b) (/.f64 1/2 a)))
	34.8b	(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	21.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1 b) 1/3) 3) b) (/.f64 1/2 a)))
	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8) 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
	30.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 3)))
	29.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b) b) (/.f64 1/2 a)))
✓	32.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
✓	23.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	31.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) -1))
	31.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 1/2 a)))
	42.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 (.f64 c a) -4 (.f64 b b))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	36.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	30.1b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
	31.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
	19.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	28.5b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
✓	19.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	31.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
	34.8b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	20.6b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 3))
	34.8b	(if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	35.3b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
	37.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	29.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
	45.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
✓	26.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (exp.f64 (log.f64 (/.f64 c (/.f64 b a))))) (.f64 -1 b))) (.f64 2 a)))
	33.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (neg.f64 (fma.f64 b b (.f64 (neg.f64 c) (.f64 a -4)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) 1/2)) b) (/.f64 1/2 a)))

Compiler

Compiled 1540 to 1061 computations (31.1% saved)

regimes875.0ms (3.8%)

Counts

83 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
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(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 c (*.f64 -4 a))) 1/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) 1/2)) b) (/.f64 1/2 a)))
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(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
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(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) 3)) (.f64 -1 b))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2/3 (fma.f64 (/.f64 c (/.f64 b a)) 4/3 (*.f64 -2 b))) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (neg.f64 (fma.f64 b b (.f64 (neg.f64 c) (.f64 a -4)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 3)))
(if (>=.f64 b 0) (.f64 (/.f64 -1 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b)) (+.f64 c c)) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)) 3/2) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 c (.f64 a -4)))) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (expm1.f64 (log1p.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) -1))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 a -4) 1/6) (pow.f64 c 1/6)) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))) 1/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) 1/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 (.f64 c a) -4 (.f64 b b))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b))) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a))))) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8) 3) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/8)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (.f64 (cbrt.f64 (+.f64 c c)) (/.f64 -1 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)) -1/8 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))) 3)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) (-.f64 (+.f64 (fma.f64 -1/12 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)) (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c) (/.f64 (fma.f64 1/576 (.f64 (/.f64 (pow.f64 b 4) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2) a)) (.f64 (.f64 2 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) -5/1152)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2))) c))) (+.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) -5/1152) c)) (fma.f64 1/288 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) (.f64 c c))) (.f64 -1/24 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 3) c)))))) b)) (/.f64 1/2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))) 1/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))

Calls

4 calls:

290.0ms	c
210.0ms	b
176.0ms	a
132.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Results

Error	Segments	Branch
13.9b	5	`a`
6.9b	5	`b`
10.4b	8	`c`
8.0b	5	`(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))`

Compiler

Compiled 2897 to 1759 computations (39.3% saved)

bsearch205.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
37.0ms	2.1363455184634125e+106	1.1772467749520264e+114
58.0ms	-9.006609777109204e-299	-8.527832165208753e-300
102.0ms	-3.832669237463767e-185	-2.0826714749378883e-194
7.0ms	-3.0053985852750786e+154	-5.877618445828354e+149

Compiler

Compiled 1327 to 928 computations (30.1% saved)

regimes643.0ms (2.8%)

Counts

60 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) 3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 c (*.f64 -4 a))) 1/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) 1/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/6) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1 b) 1/3) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (exp.f64 (log.f64 (/.f64 c (/.f64 b a))))) (.f64 -1 b))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) 3)) (.f64 -1 b))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2/3 (fma.f64 (/.f64 c (/.f64 b a)) 4/3 (*.f64 -2 b))) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (neg.f64 (fma.f64 b b (.f64 (neg.f64 c) (.f64 a -4)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 3)))
(if (>=.f64 b 0) (.f64 (/.f64 -1 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b)) (+.f64 c c)) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4)) 3/2) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 c (.f64 a -4)))) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (expm1.f64 (log1p.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) -1))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 a -4) 1/6) (pow.f64 c 1/6)) 3) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))

Calls

4 calls:

206.0ms	a
200.0ms	c
116.0ms	b
77.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Results

Error	Segments	Branch
13.9b	5	`a`
8.0b	3	`b`
11.3b	8	`c`
8.0b	5	`(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))`

Compiler

Compiled 1809 to 1062 computations (41.3% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.968706894800471e+198	2.1190070500463674e+232
0.0ms	-0.0	6.088464501430221e-304
0.0ms	-1.2767393662365797e-288	-1.0083645784438525e-292
0.0ms	-inf	-1.9811363381367366e+301

Compiler

Compiled 47 to 31 computations (34% saved)

regimes190.0ms (0.8%)

Counts

25 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))

Calls

3 calls:

64.0ms	c
55.0ms	a
44.0ms	b

Results

Error	Segments	Branch
15.1b	4	`a`
8.0b	4	`b`
14.1b	6	`c`

Compiler

Compiled 673 to 379 computations (43.7% saved)

bsearch140.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
37.0ms	2.1363455184634125e+106	1.1772467749520264e+114
95.0ms	-8.527832165208753e-300	1.0891024974605061e-306
7.0ms	-3.0053985852750786e+154	-5.877618445828354e+149

Compiler

Compiled 909 to 613 computations (32.6% saved)

regimes165.0ms (0.7%)

Counts

22 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))

Calls

3 calls:

64.0ms	c
45.0ms	b
44.0ms	a

Results

Error	Segments	Branch
17.0b	4	`a`
11.6b	4	`b`
16.0b	6	`c`

Compiler

Compiled 576 to 326 computations (43.4% saved)

bsearch215.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
114.0ms	5.460882762334877e-164	6.489053130655446e-154
93.0ms	-8.527832165208753e-300	1.0891024974605061e-306
7.0ms	-3.0053985852750786e+154	-5.877618445828354e+149

Compiler

Compiled 1429 to 1003 computations (29.8% saved)

regimes100.0ms (0.4%)

Counts

21 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))

Calls

3 calls:

44.0ms	b
34.0ms	c
10.0ms	a

Results

Error	Segments	Branch
19.9b	1	`a`
13.5b	4	`b`
17.5b	4	`c`

Compiler

Compiled 541 to 306 computations (43.4% saved)

bsearch340.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
115.0ms	5.460882762334877e-164	6.489053130655446e-154
93.0ms	-8.527832165208753e-300	1.0891024974605061e-306
133.0ms	-3.0135508147053126e-100	-1.3771160942015027e-134

Compiler

Compiled 1839 to 1276 computations (30.6% saved)

regimes52.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))

Outputs

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a)))

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a)))

Calls

3 calls:

24.0ms	b
9.0ms	c
8.0ms	a

Results

Error	Segments	Branch
19.9b	1	`a`
17.3b	2	`b`
19.9b	1	`c`

Compiler

Compiled 460 to 256 computations (44.3% saved)

bsearch114.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
114.0ms	5.460882762334877e-164	6.489053130655446e-154

Compiler

Compiled 667 to 471 computations (29.4% saved)

regimes43.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))

Outputs

(if (>=.f64 b 0) (*.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a)))

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (*.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a)))

Calls

3 calls:

16.0ms	b
9.0ms	c
9.0ms	a

Results

Error	Segments	Branch
19.9b	1	`a`
17.4b	2	`b`
19.9b	1	`c`

Compiler

Compiled 433 to 239 computations (44.8% saved)

bsearch104.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
104.0ms	3.4922519360633526e-223	2.2355458991980716e-211

Compiler

Compiled 657 to 471 computations (28.3% saved)

regimes39.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 2 (-.f64 (.f64 c (/.f64 a b)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))

Calls

3 calls:

16.0ms	c
8.0ms	b
8.0ms	a

Results

Error	Segments	Branch
19.9b	1	`a`
19.9b	1	`b`
19.9b	1	`c`

Compiler

Compiled 407 to 222 computations (45.5% saved)

regimes18.0ms (0.1%)

Accuracy

Total -37.0b remaining (-183.8%)

Threshold costs -37.0b (-183.8%)

Counts

7 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 (.f64 a (/.f64 c b)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))

Calls

3 calls:

5.0ms	c
5.0ms	b
5.0ms	a

Results

Error	Segments	Branch
20.1b	1	`a`
20.1b	1	`b`
20.1b	1	`c`

Compiler

Compiled 158 to 84 computations (46.8% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
26×	`*-commutative_binary64`
23×	`sub-neg_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	4294968495
1	165	4294968475
2	208	4294968475
3	239	4294968475
4	257	4294968475
5	264	4294968475
6	265	4294968475

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -215747761586945/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 b -8482580444616245/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))) 1/2)) b) (/.f64 1/2 a))) (if (<=.f64 b 21363455184634125136923398032821737534549081689011076097548125465745023767474690193641229855334184173699072) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))))))
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) -5486124068793689/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (.f64 2 a)))))))
(if (<=.f64 b -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -3204530390188359/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 b 21363455184634125136923398032821737534549081689011076097548125465745023767474690193641229855334184173699072) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (.f64 2 a))))))
(if (<=.f64 b -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -3204530390188359/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 b 7131979884014207/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a))))))
(if (<=.f64 b -716054195477281/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -3204530390188359/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a))) (if (<=.f64 b 7131979884014207/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))))))
(if (<=.f64 b 7131979884014207/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a))))
(if (<=.f64 b 4558212991226463/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448) (if (>=.f64 b 0) (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))

Outputs
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(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 2 (-.f64 (/.f64 a (/.f64 b c)) b))) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (.f64 b -2) (*.f64 2 a)))

Compiler

Compiled 981 to 603 computations (38.5% saved)

soundness628.0ms (2.7%)

Algorithm

5×	egg-herbie

Rules

1002×	`fma-def_binary64`
842×	`fma-neg_binary64`
842×	`fma-neg_binary64`
782×	`fma-neg_binary64`
760×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	716
1	336	686
2	1221	620
3	7428	620
0	133	2386
1	422	2292
2	1483	2157
0	22	58
1	44	52
2	99	52
3	240	50
4	435	50
5	775	50
6	1488	50
7	2868	50
8	4319	50
9	5600	50
10	6531	50
11	6959	50
12	7072	50
13	7869	50
14	7925	50
0	209	2654
1	644	2537
2	2208	2498
0	111	716
1	336	686
2	1221	620
3	7428	620

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1520 to 1019 computations (33% saved)

end288.0ms (1.2%)

Compiler: Compiled 957 to 536 computations (44% saved)